Answer:
51.89085
Step-by-step explanation:
area = 49pi
150/360 * 49pi = 64.14085
triangle area = 7 * sin(75 degrees) * 7 * cos(75 degrees) = 12.25
==> white region = 64.14085 - 12.25 = 51.89085
What is the equation of a vertical line through the point (-3,5)?
We have the next point: (-3, 5)
And we must find the equation of a vertical line that passes through the point.
To find the vertical line that passes through a point we must equal the equation for x to the x coordinate of the point and this will be the equation.
Now, in this case the equation of the vertical line is
\(x=-3\)In the goodness-of-fit measures, interpret the coefficient of determination for Earnings with Model 3 and what the sample variation of earnings explains.
Standard error of the estimate se
Coefficient of determination R2
Adjusted R2
Model 1
6,582.6231
0.6563
0.5592
Model 2 Model
0.8475% of the sample variation in Earnings is explained by the model selection.
0.0100 of the sample variation in Earnings determines the model selection.
27.90 of the sample variation in Earnings determines the regression model.
61.63% of the sample variation in Earnings is explained by the regression model.
The coefficient of determination (R2) is a measure of the proportion of variation in the dependent variable that is explained by the regression model, while the standard error of estimate (se) measures the accuracy of the predicted values.
What is line regression?
Linear regression is a statistical method used to model the relationship between a dependent variable (also called the response or target variable) and one or more independent variables (also called predictors or explanatory variables) in a linear fashion.
The coefficient of determination (R2) for Model 3 indicates that 61.63% of the sample variation in Earnings is explained by the regression model. This means that the predictor variables included in Model 3 are able to explain more than half of the variation in the dependent variable, Earnings.
The standard error of the estimate (se) is a measure of the average distance that the observed values fall from the regression line. A smaller standard error of estimate indicates that the observed values are closer to the fitted regression line.
The adjusted R2 in Model 1 and Model 2 can be interpreted as follows:
Model 1: 55.92% of the sample variation in Earnings is explained by the regression model, taking into account the number of predictor variables included in the model.
Model 2: 84.75% of the sample variation in Earnings is explained by the model selection, taking into account the number of predictor variables in each model.
Overall, the coefficient of determination (R2) is a measure of the proportion of variation in the dependent variable that is explained by the regression model, while the standard error of estimate (se) measures the accuracy of the predicted values. Adjusted R2 is a modification of R2 that takes into account the number of predictor variables included in the model and provides a more reliable measure of model fit.
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Express this number in scientific notation: 0.0002077
Given the number:
0.0002077
Let's express in scientific notation.
To express the number in scientific notation, move the decimal point so that there is only one non-zero number to the left of the decimal point.
Then, the number of decimal places you move will be the exponent on 10.
If the decimal point is moved to the right, the exponent will be negative.
If the decimal pointt is moved to the left, the exponent will be positive.
In this case the decimal point will be moved to the right.
Using this description, we have the scientific notation below:
\(undefined\)Answer:
2.077 x \(10^{-4}\)
Step-by-step explanation:
First, move the decimal place until we have a single digit between 1 and 10 to the left of the decimal point. In this problem, if we keep moving the decimal point to the right in 0.0002077 we will get 2.077.
Next, count how many places we moved the decimal point. If we have to move the decimal place to the right, the exponent will be negative. If we had moved the decimal place to the left, the exponent would be positive. In this case we had to move it 4 places to the right to change 0002077 to 2.077. We show that we moved it 4 places to the right by noting that the number should be multiplied by \(10^{-4}\).
find the measure of the complementary angles that satisfy each case. the measure of the first angle is 30 greater than the measure of the second angle
Answer:
Step-by-step explanation:
Let the first angle = x
Let the second angle = y
They are complementary so
x + y = 90
x = y + 30
Substitute for x
y + 30 + y = 90
2y + 30 = 90 Subtract 30 from each side
2y = 90 - 30
2y = 60 Divide by 2
2y/2 = 60/2
y = 30
x = y + 30
x = 30 + 30
x = 60
-4(x-2)+5<9
solve the inequality and put on number line please and thank you!
Answer:
Inequality Form: x > 1
Interval Notation: (1, \infty )
Step-by-step explanation:
It costs $7.20 for 6 large candy bars. How many candy bars can you buy for $13.20?
Answer:
11
Step-by-step explanation:
I divided 7.20 and 6 and got 1.2 so i did 13.20 divided by 1.2 and got 11
Answer: You can buy 11 candy bars.
Step-by-step explanation:
$7.20 =6
$7.20/6 =$1.20
$13.20/$1.20=11
what is the estimated height of a building with six stories? does the least squares line give an accurate estimate of height? explain why or why not.
if the data is skewed or otherwise biased, the least squares line may not accurately represent the true relationship between the number of stories and building height.
The estimated height of a building with six stories would depend on the average height of each story, which can vary depending on the building's design and construction materials. However, a general rule of thumb is that each story in a building is typically between 10 and 14 feet in height, which would put a six-story building between 60 and 84 feet tall.
As for whether the least squares line gives an accurate estimate of height, that would depend on the data being used to generate the line. The least squares method is a statistical technique used to find the line of best fit for a set of data points, with the goal of minimizing the sum of the squared distances between each data point and the line.
If the data used to generate the line is representative of the population of buildings with six stories, then the least squares line should provide a reasonably accurate estimate of height. However, if the data is skewed or otherwise biased, the least squares line may not accurately represent the true relationship between the number of stories and building height. Therefore, it is important to carefully examine the data and consider potential biases before using the least squares method to make predictions.
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Rachael is 12 years older than Kayla. If the sum of their ages is 48, how old are they?
Answer: Rachel is 30 years old and Kayla is 18
Step-by-step explanation:
I got the answer like this:
What plus what equal 48. 24 + 24
So to get the answer I subtracted one from the first 24, and added one to the second 24.
I did this until they were 12 numbers away. This gave me their age.
The width of a rectangular flower shop is 20 feet less than twice the length The perimeter is more than 70 feet Which inequality can be used to hnd a possible length of the shop in feet?
width (w)= 20 feet less than twice the length = 2x-20
x = length
Perimeter is more than 70 feet
Perimeter = 2w+2x
Replacing:
P= 2 (2x-20)+ 2x
Since the perimeter is more than 70:
2 (2x-20)+ 2x > 70
Natalie walked 3/5 miles in 1/2 hour . How fast did she walk, in miles per hour?
Answer:
6/5
Step-by-step explanation:
you multiply by 2
what is the mass of x divided by 12
The value of expression is,
⇒ x ÷ 12
We have to given that;
The algebraic expression is,
⇒ x divided by 12
Hence, We can formulate;
The value of correct expression is,
⇒ x ÷ 12
⇒ x / 12
Thus, The value of expression is,
⇒ x ÷ 12
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At the city museum, child admission is $5.20 and adult admission is $9.20. On Tuesday, twice as many adult tickets as child tickets were sold, for a total salesof $778.80. How many child tickets were sold that day?
The amount of sales is the product of the number of tickets sold and the admission price (the price of each ticket).
Let the number of child tickets sold be x.
Since twice as many adult tickets as child tickets were sold, it follows that the number of adult tickets sold is 2 times x = 2x.
The amount of sales made on child tickets is the product of the number of child tickets and the price of child tickets:
Price controls in the Florida orange market The following graph shows the annual market for Florida oranges, which are sold in units of 90-pound boxes Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. Graph Input Tool Market for Florida Oranges 50 45 Price 20 (Dollars per box) 40 Ouantit Quantity Supplied 80 Demanded (Millions of boxes) Supply 35 (Millions of boxes) & 30 25 l 20 15 I I Demand I I I I 0 80 1 60 240 320 400 480 560 640 720 800 QUANTITY (Millions of boxes) In this market, the equilibrium price is per box, and the equilibrium quantity of oranges is on boxes 200
The equilibrium price is the price at which the quantity demanded equals the quantity supplied.
Looking at the graph, we can see that the demand curve intersects the supply curve at a quantity of approximately 200 million boxes. To find the corresponding equilibrium price, we need to find the price level at this quantity.
From the graph, we can observe that the price axis ranges from $20 to $40. Since the graph is not accurately scaled, we can estimate the equilibrium price to be around $30 per box based on the midpoint of the price range.
Therefore, the equilibrium price in this market is approximately $30 per box.
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In a two-year survey of 100 census tracts in Seattle (WA), Rountree and Warner (1999) observed a mean official violent crime rate of 27.06 per 1,000, with a standard deviation of 33.81. Construct a 95% confidence interval around this mean. What is the lower bound for this confidence interval
95% confidence that the true mean of the violent crime rate in Seattle's census tracts lies between 20.43 and 33.69 per 1,000.
In the given study, Rountree and Warner (1999) observed a mean official violent crime rate of 27.06 per 1,000 in 100 census tracts over a two-year period in Seattle, WA. The standard deviation was 33.81. To construct a 95% confidence interval around this mean, we can use the formula:
\(CI = mean ± (Z-score * (standard deviation / √sample size))\)
For a 95% confidence interval, the Z-score is 1.96. The sample size is 100 census tracts. So, we can calculate the interval as follows:
CI = 27.06 ± (1.96 * (33.81 / √100))
CI = 27.06 ± (1.96 * (33.81 / 10))
CI = 27.06 ± (1.96 * 3.381)
CI = 27.06 ± 6.63
The lower bound for this confidence interval is 27.06 - 6.63, which is approximately 20.43. Therefore, we can say with 95% confidence that the true mean of the violent crime rate in Seattle's census tracts lies between 20.43 and 33.69 per 1,000.
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john and jane go rock-climbing together. john climbs a height of $(x 5)$ miles in $(x-1)$ hours and jane climbs a height of $(x 11)$ miles in $(x 1)$ hours. if john and jane were climbing at the same speed, what must have been their speed, in miles per hour?
Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.
Distance covered by John = Distance covered by Jane
Therefore, \($(x + 5) = (x + 11)$\)
Thus, x = 6
Now, we need to find the speed of both, which is given by the formulae:
Speed = Distance / Time
So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph
Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)
Speed of Jane = \($17 / 7$\) mph
Since both have to be equal, Speed of John = Speed of Jane Therefore,
\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)
Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph
Speed of Jane = \($7 / 3$\) mph
Thus, their speed was \($7 / 3$\) mph.
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Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins to solve the equation for h but runs out of time. Her partial work is shown below: Which expression should follow the subtraction in Hallie’s equation?
1(l + w)
2(l – w)
3(l+w/4)
4(l-w/2)
Answer:
1.( l+w)
Step-by-step explanation:
The complete question is given below
Her partial work is shown below: p = 4l + 4w + 4h
= l + w + h
h =
Which expression should follow the subtraction in Hallie’s equation?
h=l+w
Answer is 1. (l +w)
how many different paths from a to b are possible if each path must avoid the point with the circle around it?
This depends on the number of paths that exist between point a and point b. If there are more than one path, then the number of paths that avoid the point with the surrounding circle will be one less than the total number of paths.
The number of paths from point a to point b that avoid the point with the surrounding circle will depend on the total number of paths between the two points. If there are multiple paths between the two points, then the number of paths that avoid the point with the circle will be one less than the total number of paths.
For example, if there are three paths between a and b, then two of those paths will avoid the point with the circle.
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help please!!!!!!!!!
The equation that relates E to H is E = $30H.
The earnings of the tutor for working for 13 hours is $390.
What is the earnings of the tutor?The total earnings of the tutor can be determined by multiplying the earnings per hour by the total hours worked.
The equation that would be used to determine the total earnings would be a liner equation. A linear equation is a function that increases by a constant value.
Total earnings = earning per hour x number of hours worked
Total earnings = $30 x H
E = $30H
Earnings after working for 13 hours : 13 x $30 = $390
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The students at Gotham Elementary want to raise $500 for charity. They have raised $337 so far. How much more money do the students need to raise?
Responses
A ? + 337 = 500 or ? − 500 = 337? + 337 = 500 or ? − 500 = 337
B 337 + ? = 500 or 500 – 337 = ?337 + ? = 500 or 500 – 337 = ?
C ? − 337 = 500 or 500 + 337 = ?? − 337 = 500 or 500 + 337 = ?
D 337 + 500 = ? or 500 − ? = 337
Answer: 163$
Step-by-step explanation:
Determine the seating capacity of an auditorium with 37 rows of seats if there are 16 seats in the first row, 21 seats in the second row, 26 seats in the third row, and so on. 693 Incorrect: Your answer is incorrect. seats
The seating capacity of an auditorium with 37 rows of seats is 23,271.
Given that the first row has 16 seats, the second row has 21 seats, the third row has 26 seats, and so on up to the 37th row. Using the formula for the sum of an arithmetic series, we have: Sn = n/2[2a + (n - 1)d] where n is the number of terms in the series a is the first term of the series d is the common difference of the series.
Here, a = 16, d = 5, and n = 37. Plugging in these values in the formula, we get Sn = 37/2[2(16) + (37 - 1)5]Sn = 37/2[32 + 180]Sn = 37/2(212)Sn = 23,271. Therefore, the seating capacity of the auditorium is 23,271.
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Seth worked 23.5 hours last week at Chick-fil-la. He earns $8.00 per hour. What were Seth’s earnings for last week?
Answer:
$188
Step-by-step explanation:
23.5x$8.00=$188.
Hope this helps. (:
Could I please have BRAINLIEST.
Answer:
Seth earned $188 last week
Step-by-step explanation:
23.5 hours worked last week x $8.00 per hour = $188 dollars made in 23.5 hours
if you dog a 6ft hole...how deep is that hole??
-Beetlejuice
Answer:
im confused lol
Step-by-step explanation:
Answer:
6ft
Step-by-step explanation:
Here is my math problem, thanks :) -8+16-9+1222-784
Answer:
437
Step-by-step explanation:
i just simplified it, but i hope this helps!
have a good day!
and mark me brainliest while your at it! ;D
Answer:
437
Step-by-step explanation:
What is the tangent ratio of an obtuse angle 7/25
Answer:
Step-by-step explanation:
In a right-angled triangle, the tangent ratio of an acute angle = the ratio of the length of the opposite side to the length of the adjacent side.
Lets say angle A= 150 degrees (obtuse)
to find its corresponding acute angle, we need to subtract 150 from 180 degrees, that is, 180-150= 30 degrees.Considering a right triangle where angle B=30 degrees. now assuming that the opposite side of angle B has a length of 7 while the adjacent side has a length of 25.So, the tangent ratio of angle B= the ratio of the length of the opposite side to the length of the adjacent side.
So far we have:
tan B = opposite/adjacent = 7/25and because angle A is obtuse, its tangent ratio is the negative of the tangent ratio of its corresponding acute angle.
So, tan A = -tan 30 = -1/√3 or approximately -0.577.Step-by-step explanation:
first of all
tan(x) = sin(x)/cos(x)
that is the tangent ratio.
so, the question is also, what happens to sine and cosine for obtuse angles.
remember the trigonometric triangle inside the circle.
sine is the up/down leg (up = positive, down = negative), cosine is the left/right leg (and extension of the leg; of left from the center = negative, if right from the center = positive).
so, for an obtuse angle (90° < angle <= 180°) sine is still up and therefore positive, but cosine is left from the center and therefore negative.
for that reason tan(angle) = sin(angle)/cos(angle) is negative.
in fact, it is -tan(180 - angle).
Simplify \(\frac{sec(a)-csc(a)}{sec(a)+csc(a)}\)
The simplified version of (sec a - cosec a) / (sec a + cosec a) is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).
What is trigonometry?The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
Given:
(sec a - cosec a) / (sec a + cosec a)
Multiply the numerator and denominator by (sec a - cosec a)
(sec a - cosec a) / (sec a + cosec a) × (sec a - cosec a)
(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)
As we know,
\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)
sec² a cosec² a - 2sec a cosec a / (sec²a - cosec²a)
sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)
cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)
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Please help solve! I tried but I’m messing this up, would really appreciate it!
Answer:
K = \(\frac{4r}{n} -a\) n \(\neq 0\)
Step-by-step explanation:
We have our equation \(r = \frac{n}{4} (a+K)\) and are looking for K
First we have to switch sides :
\(\frac{n}{4} (a+K) = r\)
Since we have a denominator of 4, we multiply both sides by 4 :
\(n (a+K) = 4r\)
We then divide both sides by n :
\(a+K = \frac{4r}{n} ; n\neq 0\)
Subtract a from both sides :
\(K = \frac{4r}{n} -a; n\neq 0\)
^^^
In summer2021, electric power at peak usage times costs about 0.64 $/kWh ≈ 1.8 × 10−7 $/J. An ordi-
nary electrically-powered device in a home might operateat 110 V and 0.12 A. What is the cost per second to power
such a circuit during the peak usage period?
The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:
Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:
P = 110V x 0.12A
= 13.2 W
Calculate the cost per second-The cost per second can be calculated using the formula:
Cost per second = Power x Cost per Joule
C = P x CC
= 13.2 W x 1.8 x \(10^-7\) $/J
≈ 2.376 x 10^-6 $/s
Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.
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Please answer fast, it’s due in a hour.
Answer:
100.48 units³
Step-by-step explanation:
Volume of Cylinder: V = πr²h
volume = pi × radius² × heightV = 3.14 × 2² × 8
V = 100.48 units³
Answer:
100.84^units
Step-by-step explanation:
The nullspace of nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors.
A. True
B. False
The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.
Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.
Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.
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item that costs x dollars. He has a
Hudson goes to a store an buys an
coupon for 20%
off, and then a 5% tax is added to the discounted price. Write an expression in terms
of I that represents the total amount that Hudson paid at the register.
Answer:
bro just do it by ypur self
Answer:
x - .2x + .05(x - .2x)
Step-by-step explanation:
Let x = the original cost
x - .2x + .05(x - .2x)
We are taking the original cost and subtracting out the discount.
The tax is paid on the discounted cost.
You change percents to decimals by dividing by 100.